rita will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a…

rita will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a delivery fee of $4 for the entire purchase and $11 per pizza. the second restaurant has no delivery fee and charges $12 per pizza. let x be the number of pizzas purchased.\n(a) for each restaurant, write an expression for the total charge of purchasing x pizzas (with delivery).\ntotal charge from the first restaurant (in dollars) = \ntotal charge from the second restaurant (in dollars) = \n(b) write an equation to show when the total charge (with delivery) would be the same for each restaurant.

rita will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a delivery fee of $4 for the entire purchase and $11 per pizza. the second restaurant has no delivery fee and charges $12 per pizza. let x be the number of pizzas purchased.\n(a) for each restaurant, write an expression for the total charge of purchasing x pizzas (with delivery).\ntotal charge from the first restaurant (in dollars) = \ntotal charge from the second restaurant (in dollars) = \n(b) write an equation to show when the total charge (with delivery) would be the same for each restaurant.

Answer

Explanation:

Step1: Find the total charge for the first restaurant

The first restaurant has a delivery fee of $4$ and charges $11$ per pizza. If $x$ is the number of pizzas, the total charge is the sum of the delivery fee and the cost of the pizzas. $$4 + 11x$$

Step2: Find the total charge for the second restaurant

The second restaurant has no delivery fee and charges $12$ per pizza. So the total charge is just the cost of the pizzas. $$12x$$

Step3: Write the equation for when the total charges are the same

Set the two expressions equal to each other. $$4+11x = 12x$$

Answer:

(a) Total charge from the first restaurant (in dollars) = $4 + 11x$; (b) $4+11x = 12x$